**Instantaneous Velocity and Acceleration of Point B**The device shown rotates about the fixed z-axis with angular velocity \(\omega = 15 \text{ rad/s}\) and angular acceleration \(\alpha = 34 \text{ rad/s}^2\) in the directions indicated. Determine the instantaneous velocity and acceleration of point \(B\).Given:\[\overline{OA} = 310 \text{ mm}, \quad \overline{AB} = 475 \text{ mm}\]**Diagram Description:**The diagram illustrates a rotating device with two arms. The device's rotation is about a fixed vertical z-axis, passing through point \(O\). Points \(A\) and \(B\) represent locations along the arms with angles measured from the horizontal plane (x-y plane).- Each arm is tilted at an angle of \(63^\circ\) from a vertical z-axis.- Point \(A\) is located at a distance of \(310 \text{ mm}\) from point \(O\).- Point \(B\) is located at a distance of \(475 \text{ mm}\) from point \(A\).**Answers:**The answers for the instantaneous velocity (\(\mathbf{v}_B\)) and acceleration (\(\mathbf{a}_B\)) of point \(B\) are as follows:Velocity:\[\mathbf{v}_B = (\text{input value})i + (\text{input value})j + (\text{input value})k \text{ m/s}\]Acceleration:\[\mathbf{a}_B = (17.85 \text{ m/s}^2)i + (-118.125 \text{ m/s}^2)j + (\text{input value})k \text{ m/s}^2\]

Answered: Image /qna-images/answer/7cd3b375-6ba2-4de9-9d0c-cd0f7133008e.jpg

The device shown rotates about the fixed z-axis with angular velocity w = 15 rad/s and angular acceleration a = 34 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 63%- 63° α OA 310 mm, AB = 475 mm i k) m/s i k) m/s² Answers: VB= ag= F i (i 17.85 i+ i i+ i -118.125 j+

The device shown rotates about the fixed z-axis with angular velocity w = 15 rad/s and angular acceleration a = 34 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 63%- 63° α OA 310 mm, AB = 475 mm i k) m/s i k) m/s² Answers: VB= ag= F i (i 17.85 i+ i i+ i -118.125 j+

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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**Instantaneous Velocity and Acceleration of Point B**

The device shown rotates about the fixed z-axis with angular velocity \(\omega = 15 \text{ rad/s}\) and angular acceleration \(\alpha = 34 \text{ rad/s}^2\) in the directions indicated. Determine the instantaneous velocity and acceleration of point \(B\).

Given:
\[
\overline{OA} = 310 \text{ mm}, \quad \overline{AB} = 475 \text{ mm}
\]

**Diagram Description:**

The diagram illustrates a rotating device with two arms. The device's rotation is about a fixed vertical z-axis, passing through point \(O\). Points \(A\) and \(B\) represent locations along the arms with angles measured from the horizontal plane (x-y plane).

- Each arm is tilted at an angle of \(63^\circ\) from a vertical z-axis.
- Point \(A\) is located at a distance of \(310 \text{ mm}\) from point \(O\).
- Point \(B\) is located at a distance of \(475 \text{ mm}\) from point \(A\).

**Answers:**

The answers for the instantaneous velocity (\(\mathbf{v}_B\)) and acceleration (\(\mathbf{a}_B\)) of point \(B\) are as follows:

Velocity:
\[
\mathbf{v}_B = (\text{input value})i + (\text{input value})j + (\text{input value})k \text{ m/s}
\]

Acceleration:
\[
\mathbf{a}_B = (17.85 \text{ m/s}^2)i + (-118.125 \text{ m/s}^2)j + (\text{input value})k \text{ m/s}^2
\]

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